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4

Wire Inductors

Wire-wound inductors have traditionally been used in biasing chokes and

lumped-element filters at radio frequencies, whereas bond wire inductance is an

integral part of matching networks and component interconnection at microwave

frequencies [1–10]. This chapter provides design information and covers practical

aspects of these inductors.

4.1 Wire-Wound Inductors

Wire-wound inductors can be realized in several forms of coil including rectangu￾lar, circular, solenoid, and toroid. The inductance of a coil can be increased by

wrapping it around a magnetic material core such as a ferrite rod. Figure 4.1

shows various types of wire-wound inductors currently used in RF and microwave

circuits. The basic theory of such inductors is described next.

4.1.1 Analytical Expressions

In this section we describe analytical expressions used for the design of several

types of wire-wound inductors.

4.1.1.1 Circular Coil

The inductance of a single-turn coil shown in Figure 4.2(a) is given by [7]

L = m(2r − a) FS1 − k 2

2 DK (k) − E(k)

G (4.1)

137